2(5c-1)-3=6c+7

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Solution for 2(5c-1)-3=6c+7 equation:


Simplifying
2(5c + -1) + -3 = 6c + 7

Reorder the terms:
2(-1 + 5c) + -3 = 6c + 7
(-1 * 2 + 5c * 2) + -3 = 6c + 7
(-2 + 10c) + -3 = 6c + 7

Reorder the terms:
-2 + -3 + 10c = 6c + 7

Combine like terms: -2 + -3 = -5
-5 + 10c = 6c + 7

Reorder the terms:
-5 + 10c = 7 + 6c

Solving
-5 + 10c = 7 + 6c

Solving for variable 'c'.

Move all terms containing c to the left, all other terms to the right.

Add '-6c' to each side of the equation.
-5 + 10c + -6c = 7 + 6c + -6c

Combine like terms: 10c + -6c = 4c
-5 + 4c = 7 + 6c + -6c

Combine like terms: 6c + -6c = 0
-5 + 4c = 7 + 0
-5 + 4c = 7

Add '5' to each side of the equation.
-5 + 5 + 4c = 7 + 5

Combine like terms: -5 + 5 = 0
0 + 4c = 7 + 5
4c = 7 + 5

Combine like terms: 7 + 5 = 12
4c = 12

Divide each side by '4'.
c = 3

Simplifying
c = 3

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